Final answer:
The distance between fringes produced by a diffraction grating with 125 lines per centimeter for 600-nm light, if the screen is 1.50 m away, is 0.072 mm.
Step-by-step explanation:
To calculate the distance between fringes produced by a diffraction grating, we can use the formula Ay = xλ/d, where Ay is the distance between adjacent fringes, x is the distance from the grating to the screen, λ is the wavelength of light, and d is the distance between lines on the grating.
Given that the grating has 125 lines per centimeter and the light has a wavelength of 600 nm, we need to convert the units of d to lines per meter.
Since 1 centimeter is equal to 0.01 meters, we can multiply the given value of 125 lines per centimeter by 100 to get 12500 lines per meter.
Substituting the values into the formula, Ay = (1.50 m)(600 nm)/(12500 lines/m) gives us the distance between fringes as 0.072 mm.